Math Problem Statement
The position of a particle moving along a coordinate line is s = sqrt(1 + 4t), with s in meters and t in seconds. Find the particle’s velocity and acceleration at t = 6 sec.
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Chain Rule
Formulas
Velocity formula: v(t) = ds/dt
Acceleration formula: a(t) = dv/dt
Theorems
-
Suitable Grade Level
High School
Related Recommendation
Find Velocity at t = 5 sec from Displacement Function x(t) = 2 + 6t + 2t^2
Velocity Calculation for a Particle in Linear Motion with Displacement Equation s = 6t^2
Find the speed of a particle from an acceleration-time graph at t = 6 s
Find the Velocity of a Particle from Acceleration Graph - Physics Kinematics Problem
Determining Time When Acceleration is Zero: Calculus Problem Solution